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Finding the Fourth Proportional to 23,575.68, 32,535 and 12,966

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Solution

The fourth proportional to 23,575.68, 32,535 and 12,966 is: 17,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,575.68 : 32,535 = 12,966 : x
  2. Step 2: Convert to fraction form
    23,575.68/32,535 = 12,966/x
  3. Step 3: Cross multiply
    23,575.68x = 32,535 × 12,966
  4. Step 4: Simplify right side
    23,575.68x = 421,848,810
  5. Step 5: Solve for x
    x = 421,848,810/23,575.68
  6. Step 6: Final answer
    x = 17,893.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.